Topological Action Related to Berry's Phase and its Non-adiabatic Effects

Sun Changpu

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2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(S3) : 265-273

Topological Action Related to Berry's Phase and its Non-adiabatic Effects

Sun Changpu

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin, and Physics Department, Northeast Normal University, Changchun

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Abstract：
For the general cases where the adiabatic conditions are broken, we use the path-integration to derive a topological action related to the Berry's phase and the corresponding effective Hamiltonian, and thereby obtain the probability amplitude of the non-adiabatic transition under the first-order approximation. These discussions manifest the universality of existence of the Berry's phase and induced gauge structure. As an example, the dynamics of induced monopole associated with Bitter-Dubbers experiment is discussed.

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[20]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.

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Sun Changpu. Topological Action Related to Berry's Phase and its Non-adiabatic Effects[J]. Chinese Physics C, 1990, 14(S3): 265-273.

Sun Changpu. Topological Action Related to Berry's Phase and its Non-adiabatic Effects[J]. Chinese Physics C, 1990, 14(S3): 265-273. shu

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Received: 1990-08-28

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Supported by the National Natural Science Foundation of China.

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Topological Action Related to Berry's Phase and its Non-adiabatic Effects

Sun Changpu

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin, and Physics Department, Northeast Normal University, Changchun

Received Date: 1990-08-28

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: For the general cases where the adiabatic conditions are broken, we use the path-integration to derive a topological action related to the Berry's phase and the corresponding effective Hamiltonian, and thereby obtain the probability amplitude of the non-adiabatic transition under the first-order approximation. These discussions manifest the universality of existence of the Berry's phase and induced gauge structure. As an example, the dynamics of induced monopole associated with Bitter-Dubbers experiment is discussed.